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Simplifying 4(x + -1) + -12x = -6(x + 8) + 18 Reorder the terms: 4(-1 + x) + -12x = -6(x + 8) + 18 (-1 * 4 + x * 4) + -12x = -6(x + 8) + 18 (-4 + 4x) + -12x = -6(x + 8) + 18 Combine like terms: 4x + -12x = -8x -4 + -8x = -6(x + 8) + 18 Reorder the terms: -4 + -8x = -6(8 + x) + 18 -4 + -8x = (8 * -6 + x * -6) + 18 -4 + -8x = (-48 + -6x) + 18 Reorder the terms: -4 + -8x = -48 + 18 + -6x Combine like terms: -48 + 18 = -30 -4 + -8x = -30 + -6x Solving -4 + -8x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + -8x + 6x = -30 + -6x + 6x Combine like terms: -8x + 6x = -2x -4 + -2x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + -2x = -30 + 0 -4 + -2x = -30 Add '4' to each side of the equation. -4 + 4 + -2x = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -30 + 4 -2x = -30 + 4 Combine like terms: -30 + 4 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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